Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
2772l |
Isogeny class |
Conductor |
2772 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-132024816 = -1 · 24 · 37 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- -3 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,123,173] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-63:1] |
Generators of the group modulo torsion |
j |
17643776/11319 |
j-invariant |
L |
3.5331133153773 |
L(r)(E,1)/r! |
Ω |
1.1521525687228 |
Real period |
R |
0.17036291755536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11088bg1 44352bw1 924c1 69300bl1 |
Quadratic twists by: -4 8 -3 5 |